Вопрос:
a) -5(-y + 9) = y + 10;
б) m – 17 = (m + 4)(-9);
в) 17 - 4(m + 11) = 43;
г) -7(4x + 2) – 3 = −17;
д) -4,8у + 7,2 = 3(2,4y + 4,8);
e) -5(0,6y - 1,8) = -2y + 8,5.
Ответ:
Решение уравнений:
- а)
- \[ -5(-y + 9) = y + 10 \]
- \[ 5y - 45 = y + 10 \]
- \[ 5y - y = 10 + 45 \]
- \[ 4y = 55 \]
- \[ y = \frac{55}{4} = 13.75 \]
- б)
- \[ m - 17 = (m + 4)(-9) \]
- \[ m - 17 = -9m - 36 \]
- \[ m + 9m = -36 + 17 \]
- \[ 10m = -19 \]
- \[ m = -\frac{19}{10} = -1.9 \]
- в)
- \[ 17 - 4(m + 11) = 43 \]
- \[ 17 - 4m - 44 = 43 \]
- \[ -4m - 27 = 43 \]
- \[ -4m = 43 + 27 \]
- \[ -4m = 70 \]
- \[ m = -\frac{70}{4} = -17.5 \]
- г)
- \[ -7(4x + 2) - 3 = -17 \]
- \[ -28x - 14 - 3 = -17 \]
- \[ -28x - 17 = -17 \]
- \[ -28x = 0 \]
- \[ x = 0 \]
- д)
- \[ -4.8y + 7.2 = 3(2.4y + 4.8) \]
- \[ -4.8y + 7.2 = 7.2y + 14.4 \]
- \[ 7.2 - 14.4 = 7.2y + 4.8y \]
- \[ -7.2 = 12y \]
- \[ y = -\frac{7.2}{12} = -0.6 \]
- е)
- \[ -5(0.6y - 1.8) = -2y + 8.5 \]
- \[ -3y + 9 = -2y + 8.5 \]
- \[ 9 - 8.5 = -2y + 3y \]
- \[ 0.5 = y \]
Ответ:
- а) $$y = 13.75$$
- б) $$m = -1.9$$
- в) $$m = -17.5$$
- г) $$x = 0$$
- д) $$y = -0.6$$
- е) $$y = 0.5$$